Abstract

The dependence of resonant multiphoton emission of electrons on the relative and carrier-envelope phases of bichromatic laser fields is studied theoretically by numerically solving the time-dependent Schrödinger equation. The laser field is described by a space- and time-dependent electric field. In order to solve numerically the Schrödinger equation, we modify the transfer-matrix algorithm such that it becomes numerically stable for a very large number of matching points. This modification enables one to investigate space effects related to a finite size of a laser focus. Numerical analysis shows the importance of finite penetration depth of laser fields in solids and the ponderomotive energy related to the quiver motion of electrons in the laser focus. We demonstrate that the energy spectrum of emitted electrons and the total photocurrent depend on the relative and carrier-envelope phases, indicating that multiphoton dynamics of electrons emitted from a solid surface can be efficiently controlled by varying these phases.

© 2011 Optical Society of America

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